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Quaternionic Clifford Analysis: The Hermitian Setting

✍ Scribed by Dixan Peña-Peña; Irene Sabadini; Frank Sommen

Book ID
107508613
Publisher
SP Birkhäuser Verlag Basel
Year
2007
Tongue
English
Weight
217 KB
Volume
1
Category
Article
ISSN
1661-8254

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## Abstract In this paper, we discuss the so‐called Witt basis in a Clifford algebra and we axiomatically define an algebra of abstract Hermitian vector variables similar to the ‘radial algebra’. In this setting, we introduce some linear partial differential operators and we study their resolutions

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## Communicated by K. Gürlebeck For a positive integer n let Cl 0,n be the universal Clifford algebra with the signature (0,n). The name Clifford analysis is usually referred to the function theories for functions in the kernels of the two operators: the (Cliffordian) Cauchy-Riemann operator and t